7838516070225 has 27 divisors (see below), whose sum is σ = 14039728447953. Its totient is φ = 4180519506240.

The previous prime is 7838516070181. The next prime is 7838516070247. The reversal of 7838516070225 is 5220706158387.

The square root of 7838516070225 is 2799735.

It is a perfect power (a square), and thus also a powerful number.

7838516070225 is a `hidden beast` number, since 7 + 8 + 3 + 8 + 5 + 1 + 607 + 0 + 2 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2648922257601 + 5189593812624 = 1627551^2 + 2278068^2 .

It is not a de Polignac number, because 7838516070225 - 2⁷ = 7838516070097 is a prime.

It is a super-2 number, since 2×7838516070225² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41902701 + ... + 42089349.

Almost surely, 2^{7838516070225} is an apocalyptic number.

7838516070225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7838516070225 is the 2799735-th square number.

7838516070225 is the 1399868-th centered octagonal number.

It is an amenable number.

7838516070225 is a deficient number, since it is larger than the sum of its proper divisors (6201212377728).

7838516070225 is an frugal number, since it uses more digits than its factorization.

7838516070225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373314 (or 186657 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 7838516070225 in words is "seven trillion, eight hundred thirty-eight billion, five hundred sixteen million, seventy thousand, two hundred twenty-five".